The Diocese of Christchurch, New Zealand, has put a page called Everything you wanted to know about the Covenant on its website. It has links to both pro- and anti- Covenant material.
Its first link is to youtube. It suggests you search for "Anglican communion covenant" which brings up mostly pro-Covenant material first. But if you search for "Anglican covenant" you get mostly anti-covenant material. Mr. CatOLick gets a good showing on both.
The main pro-Covenant argument suggested is that of Andrew Goddard on the Fulcrum site.
It is always good to find both sides of the argument being offered before debate, unlike a number of English dioceses, and particularly because the Bishop of Christ Church, Victoria Matthews, is known to be staunchly in favour of the Covenant.